The Photon Sector in the Quantum Myers-Pospelov Model: An improved description

Abstract

The quantization of the electromagnetic sector of the Myers-Pospelov model coupled to standard fermions is studied. Our main objective is to construct an effective quantum theory that results in a genuine perturbation of QED, such that setting zero the Lorentz invariance violation (LIV) parameters will reproduce it. This is achieved by introducing an additional low energy scale $M$, together with a physically motivated prescription to take the QED limit. The prescription is successfully tested in the calculation of the electron self-energy in the one loop approximation. The LIV radiative corrections turn out to be properly scaled by very small factors for any reasonable values of the parameters, no fine-tuning problems are found at this stage and the choice for $M$ to be of the order of the electroweak symmetry breaking scale is consistent with the stringent bounds for the LIV parameters, in particular with those arising from induced dimension three operators.

11 pages, no figures, shortened version, new interpretation of the scale M, additional references added, accepted for publication in Phys. Lett. B

References in corpus (13)

• The Lee-Wick Standard Model
• Probing quantum gravity using photons from a flare of the active galactic nucleus Markarian 501 observed by the MAGIC telescope
• Derivation of a Vacuum Refractive Index in a Stringy Space-Time Foam Model
• Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model
• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• Classification of Dimension 5 Lorentz Violating Interactions in the Standard Model
• On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background
• New constraints on Planck-scale Lorentz Violation in QED from the Crab Nebula
• Fundamental length scale of quantum spacetime foam
• Quantum Corrections to Lorentz Invariance Violating Theories: Fine-Tuning Problem
• Impact of Low-Energy Constraints on Lorentz Violation
• The scalar sector in the Myers-Pospelov model
• Quantization of the Myers-Pospelov model: a progress report

Cited by in corpus (8)

• A new CPT-even and Lorentz-Violating nonminimal coupling in the Dirac equation
• Causality and stability for Lorentz-CPT violating electrodynamics with dimension-5 operators
• Radiatively induced Lorentz-violating operator of mass dimension five in QED
• Generation of geometrical phases and persistent spin currents in 1-dimensional rings by Lorentz-violating terms
• Higher-order Lorentz-invariance violation, quantum gravity and fine-tuning
• Unitarity and Lee-Wick prescription at one loop level in the effective Myers-Pospelov electrodynamics: the $e^{+}+e^{-}$ annihilation
• One-loop structure of the photon propagator in the Standard Model Extension
• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model